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531331296 = 25322924169
BaseRepresentation
bin11111101010110…
…111100011100000
31101000210102111220
4133222313203200
52042010100141
6124420135040
716111145556
oct3752674340
91330712456
10531331296
11252a17081
12129b37480
1386105022
14507cdbd6
15319a6766
hex1fab78e0

531331296 has 48 divisors (see below), whose sum is σ = 1400893200. Its totient is φ = 176329728.

The previous prime is 531331279. The next prime is 531331337. The reversal of 531331296 is 692133135.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×5313312962 = 564625892218079232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9900 + ... + 34068.

It is an arithmetic number, because the mean of its divisors is an integer number (29185275).

Almost surely, 2531331296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531331296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700446600).

531331296 is an abundant number, since it is smaller than the sum of its proper divisors (869561904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

531331296 is a wasteful number, since it uses less digits than its factorization.

531331296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24411 (or 24403 counting only the distinct ones).

The product of its digits is 14580, while the sum is 33.

The square root of 531331296 is about 23050.6246336189. The cubic root of 531331296 is about 809.9442607583.

It can be divided in two parts, 53133129 and 6, that added together give a palindrome (53133135).

The spelling of 531331296 in words is "five hundred thirty-one million, three hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2748 3664 5496 7328 10992 21984 24169 48338 72507 96676 145014 193352 290028 386704 580056 773408 1160112 2320224 5534701 11069402 16604103 22138804 33208206 44277608 66416412 88555216 132832824 177110432 265665648 531331296